"suppose that a random sample of size 20 is taken from a normal distribution with unknown variance equal to ? the mean is found to be x =10. A normal distribution was used as the prior for the mean, and it was found that posterior mean was 15 and the posterior standard deviation was 0.1 what were the mean and standard deviati

Q: A normally distributed population with unknown variance has a mean of 20. If you took a random…

A: Given,  X is normally distributed with mean μ=20 and variance is unknown. A random sample of size…

Q: Consider the variable x = time required for a college student to complete a standardized exam.…

A: The proportion of students at this university would be unable to finish in the allotted time when 50…

Q: If a normal distribution has a mean of 28.0 and a standard deviation of 2.5, what is the value of…

A: Given information Mean µ = 28 Standard deviation σ = 2.5 Using standard normal table,

Q: 2. A large group of students took a test in Physics and the final grades have a mean of 70 and a…

A: From the given information,   Mean = 70 Standard deviation = 10

Q: A distribution has a population mean of 10.5 and a population standard deviation of 3.5. If X is a…

A: Introduction: It is required to find the value of X for it's given z-value or z-score, under the…

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…

A: According to the central limit theorem,

Q: The scores of students on the Statistics test have a Normal distribution with mean μ=546.5 and…

A:

Q: A large group of students took a test in Statistics and Probability and the final grades have a mean…

A: Given: μ=70 and σ=10. The z-score is calculated as-z=x-μσ

Q: It is known that in the population, a variable is distributed normally with a mean of 43 and a…

A:

Q: A variable is normally distributed with a hypothesized population mean of 53 and a standard…

A:

Q: Suppose we have a population with a normal distribution with mean = 50 and standard deviation = 10…

A: Population standard deviation, sigma is 10. The z-critical value for 99% confidence interval is…

Q: at one college, GPAs are normally distributed with a mean of 3.1 and a standard deviation of 0.4.…

A:

Q: Which is true of the distribution of the sample mean?

A: Here given sample of size 20 is taken from a population with a normal distribution and unknown…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppose the scores of students on an exam are normally distributed with a mean of 264 and a standard…

A:

Q: If X is normally distributed with a mean of 50 and a standard deviation of 4. If you take a sample…

A: Provided information: Mean = 50 Standard deviation = 4 Sample size = 25

Q: What proportion of the students scored lower than 80 if the distribution of these grades can be…

A:

Q: suppose x has a normal distribution with mean= 18 and standard deviation =13. If you draw ramdom…

A: Given that mean=18 S.D=13 N=5

Q: The president of a university wants to use the mean of a ma to estimate the average amount of time…

A: Given information Standard deviation σ = 1.40 Confidence interval = 0.99 Significance level(α) = 1-…

Q: A research study investigated differences between male and female students. Based on the study…

A: Points on sampling distribution of the sample mean: If the true population distribution of a random…

Q: A variable is normally distributed with a hypothesized population mean of 20 and a standard…

A: It is given that the mean of the normal distribution is 20 and standard deviation is 4.

Q: Suppose IQ scores of students at Bradley follow a normal distribution with a mean of 103 and a…

A: Calculate the IQ score for the top 2.5% of all IQ's at this college.

Q: Use the empirical rule to solve the problem. 8) At one college, GPA's are normally distributed with…

A:

Q: Suppose that the economic growth of a country is normally distributed with mean μ = 8 ppt, and…

A: Given : Economic growth of a country is normally distributed with mean μ = 8  and standard deviation…

Q: You have a sample of 16 values from a normal distribution with mean 25 and variance 64, then the…

A: Given, n = 16 μ = 25σ2 = 64

Q: Suppose that the average number of hurricanes heading to RGV is 32 per year witha standard deviation…

A: It is given that the, Hurricanes heading follows the normal distribution with the average number of…

Q: a population was normally distributed with a mean of 10 and standard deviation of 2. What…

A: Given data,Mean μ=10sd    σ=2P(X<12.5)=?

Q: For a random sample of 36 data pairs, the sample mean of the differences was 0.75. The sample…

A:

Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 65…

A: Given data: Mean μ=65 standard deviation σ=5

Q: A normal distribution has a mean of 100 and a standard deviation of 2. If 69,146% of the data are…

A:

Q: If the coefficient of variation is 1% and the mean is 3.2, determine standard deviation (to four…

A: We have given that Mean(x̅) = 3.2 CV = 0.01

Q: At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6.…

A: Let GPA's at college = X X follows normal distribution with mean 3 and standard deviation 0.6

Q: Suppose x has a normal with mean =20 and standard deviation =12. If you draw a random samples of…

A: Given: x~N(μ,σ)μ=20σ=12

Q: Suppose that in the population, exactly 58% of college students have TikTok accounts. If we select…

A: Given: n= 150 At 95.0 % confidence level , z score= 1.96 Here, Proportion of success in a…

Q: An article in the San Jose Mercury News stated that students in the California state university…

A: Given, Sample size (n) = 48 Sample mean (x̅) = 5.1 Sample standard deviation (s) = 1.2

Q: You are told that the distribution of television weights is normal, with a mean, u of 12.6 kilograms…

A: Given,sample size(n)=8mean(μ)=12.6standard deviation(σ)=2.9

Q: A population is normally distributed and has a mean of 50 and a standard deviation of 5 If we…

A: As we know the empirical rule of 68 - 95 - 99.7 that is the percent value that are one, two or three…

Q: In a certain distribution of numbers, the mean is 40 with a standard deviation of 5. Atleast what…

A: Given data: Mean = 40 standard deviation = 5. To find: Atleast what fraction of the numbers are…

Q: A population forms a normal distribution with a mean of 85 and a standard deviation of 24 compute…

A: The mean is 85 and the standard deviation is 24.

Q: Suppose weights of running shoes have an unknown distribution with mean 11 and standard deviation 2…

A: The standard deviation from the sample mean distribution is obtained below: From the information,…

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A:

Q: The IQ scores of a large group of students are approximately normally distributed with a mean of 100…

A: Given: μ=100σ=15

Q: Under which circumstance is a score that is located 5 points above the mean a central value that is…

A: Answer : If you want the point to be relatively close to the mean then the standard deviation should…

Q: A distribution with u = 55 and o= 6 is being standardized so that the new mean and standard…

A: Introduction: For a random variable, X with mean μ, and standard deviation σ, the z-score is given…

Q: Suppose you get a sample of size 31 from a normally distributed population of size 42 whose standard…

A: We have given that the sample size n=31 from a normally distributed population of size 42 whose…

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

Q: IQ scores are normally distributed with a mean of 110 and a standard deviation of 2.9. In a sample…

A: For the solution of the problem follow the next step.

Q: An article in the San Jose Mercury News stated that students in the California state university…

A: Given that  μ=4.5x¯=5.1s=1.2n=42 df=n-1=42-1=41 Confidence level=95% Significance level=5% t…

Q: A population of N=8 scores has a standard deviation of σ=3. What is the value of SS, the sum of the…

A:

Q: at one college, GPAs are normally distributed with a mean of 3.1 and a standard deviation of 0.4.…

A: Let "X" be the GPA of college students. According to the empirical rule [Also known as 68-95-99.7…